2015
DOI: 10.1007/978-3-319-22129-8_2
|View full text |Cite
|
Sign up to set email alerts
|

Bifurcations of the Spatial Central Configurations in the 5-Body Problem

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

0
6
0

Year Published

2016
2016
2016
2016

Publication Types

Select...
1

Relationship

1
0

Authors

Journals

citations
Cited by 1 publication
(6 citation statements)
references
References 15 publications
0
6
0
Order By: Relevance
“…This explains why the work of this paper completes the study of Alvarez-Ramírez et al (2008). Thus the work done in Alvarez-Ramírez et al (2008) and the one in the present paper provide a skeleton of the families of symmetric central configurations of the spatial 5-body problem with four equal masses and their bifurcations. The results that we have obtained are represented in Fig.…”
Section: Introductionmentioning
confidence: 57%
See 4 more Smart Citations
“…This explains why the work of this paper completes the study of Alvarez-Ramírez et al (2008). Thus the work done in Alvarez-Ramírez et al (2008) and the one in the present paper provide a skeleton of the families of symmetric central configurations of the spatial 5-body problem with four equal masses and their bifurcations. The results that we have obtained are represented in Fig.…”
Section: Introductionmentioning
confidence: 57%
“…More precisely, we will continue numerically all the symmetric central configurations of the spatial 5-body problem with the five masses equal to 1 to the restricted spatial (4 + 1)-body problem with four masses equal to 1 and a fifth infinitesimal mass, and vice versa; that is, we vary the non equal mass from 1 to 0, and viceversa. This study completes the one presented in Alvarez-Ramírez et al (2008) where the authors continue numerically the symmetric central configurations from the spatial 5-body problem with the five masses equal to 1 to the restricted spatial (1 + 4)-body problem with four infinitesimal masses equal to m = 0 and a fifth mass equal to 1. Note that the study in Alvarez-Ramírez et al (2008) is equivalent to study the symmetric central configurations of the 5-body problem with four masses equal to 1 varying the fifth mass 1/m from 1 to infinity.…”
Section: Introductionmentioning
confidence: 60%
See 3 more Smart Citations